Question

A computer randomly selects a number from the given set. {2, 4, 6, 9, 16, 44, 51, 60, 78} What is the probability that a number less than 10 is selected? Enter your answer as a fraction, in simplest form, in the box. P(< 10) =

Answer 1

We know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
P=size of the event space/size of the sample space

in this problem
size of the sample=9-------> set. {2, 4, 6, 9, 16, 44, 51, 60, 78}
size of the event space=4---->number less than 10--> {2, 4, 6, 9}
P=4/9

the answer is
P(< 10) = 4/9